This scientific notation calculator converts ordinary numbers into scientific notation (and back), and adds, subtracts, multiplies and divides numbers written in scientific notation. Enter a value in either box to convert it, or fill in both and choose an operation.

Scientific Notation–
E-Notation–
Standard Form–

What Is Scientific Notation?

Scientific notation writes a number as a coefficient between 1 and 10 multiplied by a power of ten: m × 10n. It exists because real-world quantities get absurd in ordinary form — the distance to the nearest star, the mass of an electron, the number of cells in a body. In scientific notation they become short, comparable and easy to multiply. This calculator lives in our Math Calculators collection alongside the Exponent Calculator.

How to Convert to Scientific Notation

  • Move the decimal point until exactly one non-zero digit sits to its left — that is the coefficient.
  • Count how many places you moved: moving left gives a positive exponent, moving right a negative one.
  • 45,600,000 → decimal moves 7 places left → 4.56 × 107
  • 0.00032 → decimal moves 4 places right → 3.2 × 10−4

Arithmetic in Scientific Notation (Examples)

  • Multiply: multiply the coefficients, add the exponents. (3 × 105) × (2 × 104) = 6 × 109 (verified above)
  • Divide: divide the coefficients, subtract the exponents. (8 × 106) ÷ (2 × 102) = 4 × 104
  • Add/Subtract: first rewrite both numbers with the same exponent, then add the coefficients. 3 × 105 + 2 × 104 = 3.0 × 105 + 0.2 × 105 = 3.2 × 105
  • If a result's coefficient leaves the 1–10 range, the calculator re-normalizes it automatically.

E-Notation and Engineering Notation

Computers and calculators display scientific notation as E-notation: 4.56e7 means 4.56 × 107. This calculator accepts e-notation as input (try "1.5e-3") and shows it as an output. Engineering notation is a cousin where exponents come in multiples of 3 to match SI prefixes (kilo, mega, micro). For very long ordinary multiplication instead, use our Long Multiplication Calculator.

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Frequently Asked Questions

How do I write 45,600,000 in scientific notation?

4.56 × 107 — the decimal moves 7 places to sit after the 4.

What is 3.2 × 10−4 as a normal number?

0.00032. A negative exponent means a small number: move the decimal left.

Why must the coefficient be between 1 and 10?

That convention makes every number have exactly one standard representation, so values are easy to compare at a glance — the exponent alone tells you the size.

How do I enter scientific notation on a calculator?

Use the EE or EXP key, or type e: 4.56e7. This calculator accepts both "4.56e7" and plain numbers.

What is the scientific notation for 0?

Just 0 — it has no meaningful exponent.

Is this scientific notation calculator free?

Yes — free, instant, no sign-up.